300120311300100 has 144 divisors (see below), whose sum is σ = 933498518937600. Its totient is φ = 74206679368320.

The previous prime is 300120311300077. The next prime is 300120311300111. The reversal of 300120311300100 is 1003113021003.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 300120311300100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 559867060 + ... + 560402859.

Almost surely, 2^{300120311300100} is an apocalyptic number.

300120311300100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

300120311300100 is an abundant number, since it is smaller than the sum of its proper divisors (633378207637500).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

300120311300100 is a wasteful number, since it uses less digits than its factorization.

300120311300100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120270002 (or 1120269995 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 300120311300100 its reverse (1003113021003), we get a palindrome (301123424321103).

The spelling of 300120311300100 in words is "three hundred trillion, one hundred twenty billion, three hundred eleven million, three hundred thousand, one hundred".